Jean had $225 less than Elyse. Elyse gave
23 of her money to Jean. Jean then gave 20% of her money to Elyse. In the end, Jean had $163 more than Elyse. How much did Jean have at first?
| |
Elyse |
Jean |
| Comparing Elyse and Jean at first |
225 more |
|
| Before |
3 u |
+ 225 |
3 u |
|
| Change 1 |
- 2 u |
- 150 |
+ 2 u |
+ 150 |
| After 1 |
1 u |
+ 75 |
5 u |
+ 150 |
| Change 2 |
+ 1 u |
+ 30 |
- 1 u |
- 30 |
| After 2 |
2 u |
+ 105 |
4 u |
+ 120 |
23 x 225= 150
225 - 150 = 75
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 150
=
20100 x 150
= 30
150 - 30 = 120
75 + 30 = 105
If Elyse received another $163 in the end, Elyse and Jean would have the same amount of money.
4 u + 120 = 2 u + 105 + 163
4 u - 2 u = 105 + 163 - 120
2 u = 148
1 u = 148 ÷ 2 = 74
Amount that Jean had at first
= 3 u
= 3 x 74
= $222
Answer(s): $222
